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Q.

How many three-digit numbers are divisible by 7?


Class: Grade 10


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a

108

b

118

c

128

d

138 

answer is B.

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Detailed Solution

A · P = 105, 112, 119, …..994
a1 = 105
a2 = 112
Common difference (d) = 112 – 105 = 9
an = a + (n – 1) d
an = 105 + (n – 1) 7
994 = 105 + 7 n – 7
994 = 98 + 7 n
7 n = 994 – 98
7 n = 896
n = 128
128 three digit numbers are divisible by 7.
  
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